Higher regularity and finite time blow-up to nonlocal pseudo-parabolic equation with conical degeneration

Guangyu Xu

Published 2020-08-05Version 1

This paper deals with the initial-boundary value problem to a nonlocal semilinear pseudo-parabolic equation with conical degeneration. Firstly, we improve the regularity of weak solution and amend some proofs in [Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration, J. Differential Equations, 2020, 269(5): 4566--4597]. Secondly, we study finite time blow-up of the weak solution, our initial condition only depends on Nehari functional and conservative integral and then improves the result in original paper under high initial energy.